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Finding the Fourth Proportional to 1,602.86, 2,402.87 and 629.64

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Solution

The fourth proportional to 1,602.86, 2,402.87 and 629.64 is: 943.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.86 : 2,402.87 = 629.64 : x
  2. Step 2: Convert to fraction form
    1,602.86/2,402.87 = 629.64/x
  3. Step 3: Cross multiply
    1,602.86x = 2,402.87 × 629.64
  4. Step 4: Simplify right side
    1,602.86x = 1,512,939.92
  5. Step 5: Solve for x
    x = 1,512,939.92/1,602.86
  6. Step 6: Final answer
    x = 943.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.